Details

Time bar (total: 12.7s)

sample31.0ms

Algorithm
intervals
Results
13.0ms332×body80valid

simplify26.0ms

Counts
1 → 1
Iterations
IterNodes
done21
421
320
216
111
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×*-un-lft-identity add-cube-cbrt
4×associate-/l* difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp div-inv flip-- add-log-exp
Counts
1 → 34
Calls
1 calls:
18.0ms
(/ (- (* x x) 3.0) 6.0)

series113.0ms

Counts
1 → 3
Calls
1 calls:
113.0ms
(/ (- (* x x) 3.0) 6.0)

simplify1.5s

Counts
37 → 37
Iterations
IterNodes
done5001
31520
2445
1177
078

prune215.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (- (* x x) 3.0) (/ 1 6.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×*-un-lft-identity add-exp-log
9×add-cube-cbrt
6×add-cbrt-cube
4×associate-*l* prod-exp
3×pow1 unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ cbrt-unprod flip--
1×cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative div-inv add-log-exp difference-of-squares
Counts
1 → 41
Calls
1 calls:
47.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

series128.0ms

Counts
1 → 3
Calls
1 calls:
128.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

simplify2.2s

Counts
44 → 44
Iterations
IterNodes
done5002
32308
2755
1262
0101

prune185.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x (sqrt 3.0)) 6.0)
0.0b
(- x (sqrt 3.0))
0.0b
(+ (sqrt 3.0) x)
0.7b
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
46×*-un-lft-identity
37×times-frac
26×add-cube-cbrt
22×associate-*r*
16×difference-of-squares
11×add-cbrt-cube add-exp-log
8×sqrt-prod distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×associate-*l*
3×associate-/r* flip3-+ flip-+
2×frac-times cbrt-undiv flip3-- div-exp associate-*l/ prod-exp cbrt-unprod div-inv flip-- distribute-lft-out unswap-sqr associate-/l/
1×+-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*r/ *-commutative
Counts
4 → 115
Calls
4 calls:
32.0ms
(/ (- x (sqrt 3.0)) 6.0)
11.0ms
(- x (sqrt 3.0))
14.0ms
(+ (sqrt 3.0) x)
68.0ms
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

series439.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(/ (- x (sqrt 3.0)) 6.0)
58.0ms
(- x (sqrt 3.0))
44.0ms
(+ (sqrt 3.0) x)
230.0ms
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

simplify2.8s

Counts
127 → 127
Iterations
IterNodes
done5001
34296
21167
1375
0146

prune452.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- (* x x) 3.0) (sqrt (/ 1 6.0)))
0.7b
(* (* (- (* x x) 3.0) (sqrt (/ 1 6.0))) (sqrt (/ 1 6.0)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*r*
29×add-sqr-sqrt sqrt-prod
20×*-un-lft-identity times-frac
19×add-cube-cbrt
15×sqrt-div
11×frac-times associate-*l/
9×pow1 add-cbrt-cube add-exp-log
6×flip3-- flip--
5×associate-*l*
4×pow-prod-down prod-exp associate-*r/ cbrt-unprod unswap-sqr
2×*-commutative div-inv add-log-exp
1×difference-of-squares
Counts
2 → 82
Calls
2 calls:
51.0ms
(* (- (* x x) 3.0) (sqrt (/ 1 6.0)))
97.0ms
(* (* (- (* x x) 3.0) (sqrt (/ 1 6.0))) (sqrt (/ 1 6.0)))

series343.0ms

Counts
2 → 6
Calls
2 calls:
148.0ms
(* (- (* x x) 3.0) (sqrt (/ 1 6.0)))
194.0ms
(* (* (- (* x x) 3.0) (sqrt (/ 1 6.0))) (sqrt (/ 1 6.0)))

simplify2.3s

Counts
88 → 88
Iterations
IterNodes
done5007
32871
21028
1366
0145

prune382.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample1.0s

Algorithm
intervals
Results
758.0ms10584×body80valid